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Statistics / Applied Statistics and Probability for Engineers 5 / Chapter 7 / Problem 7-12

Applied Statistics and Probability for Engineers | 5th Edition | ISBN: 9780470053041 | Authors: Douglas C. Montgomery, George C. Runger

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The amount of time that a customer spends waiting at an airport check-in counter is a

Chapter 7, Problem 7-12

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QUESTION:

The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.2 minutes and standard deviation 1.5 minutes. Suppose that a random sample of n 49 customers is observed. Find the probability that the average time waiting in line for these customers is (a) Less than 10 minutes (b) Between 5 and 10 minutes (c) Less than 6 minutes

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QUESTION:

The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.2 minutes and standard deviation 1.5 minutes. Suppose that a random sample of n 49 customers is observed. Find the probability that the average time waiting in line for these customers is (a) Less than 10 minutes (b) Between 5 and 10 minutes (c) Less than 6 minutes

ANSWER:

Step 1 of 4

Itmis given that

The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean minutes and standard deviation minutes. This means that .

Suppose that a random sample of customers is observed This means that .

Step 2 of 4

(a) Less than 10 minutes.

This probability is the pvalue of when . So:

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